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Journal : Journal of Advanced Sciences and Mathematics Education

Exploring students' mathematical reasoning in solving HOTs problems based on thinking styles Marufi, Marufi; Ilyas, Muhammad; Ashari, Nur Wahidin; Kriswinarso, Tri Bondan; Salwah, Salwah
Journal of Advanced Sciences and Mathematics Education Vol 4, No 2 (2024): Journal of Advanced Sciences and Mathematics Education
Publisher : CV. FOUNDAE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58524/jasme.v4i2.499

Abstract

Background: The advancement of technology has facilitated rapid access to information, yet it poses challenges in discerning accurate information. In this context, critical thinking becomes essential for analyzing and evaluating information. Within mathematics education, exploring students reasoning processes and their alignment with thinking styles is crucial for enhancing problem-solving skills, especially in addressing Higher Order Thinking Skills (HOTS) problems.Aims: This study aims to describe students' mathematical reasoning in solving HOTS problems on the topic of systems of three-variable linear equations, focusing on two distinct thinking styles: Abstract Random and Concrete Sequential.Methods: This qualitative descriptive study was conducted at Cokroaminoto Palopo University with 36 Mathematics Education students. Two subjects, representing each thinking style, were purposively selected based on a thinking style test. Data collection involved mathematical reasoning tests, interviews, and observations, with the researcher serving as the primary instrument.Results: The findings indicate that both Abstract Random and Concrete Sequential subjects demonstrated reasoning abilities that align with all six indicators of mathematical reasoning. Notably, the Abstract Random subject approached problems through hypothesis formation and fractional equations, while the Concrete Sequential subject systematically assigned values and developed mathematical models. Both subjects re-checked their solutions to ensure accuracy.Conclusion: This study concludes that students with both Abstract Random and Concrete Sequential thinking styles exhibit effective mathematical reasoning when solving HOTS problems. These results highlight the importance of tailoring instructional strategies to accommodate diverse thinking styles to enhance students reasoning abilities in mathematics education.
Teachers’ knowledge of subject matter in formal definition of limit at senior high school level Ma'rufi, Ma'rufi; Ilyas, Muhammad; Salwah, Salwah; Ashari, Nur Wahidin
Journal of Advanced Sciences and Mathematics Education Vol 5, No 2 (2025): Journal of Advanced Sciences and Mathematics Education
Publisher : CV. FOUNDAE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58524/jasme.v5i2.769

Abstract

Background: Vocational schools in border areas face systemic challenges such as limited infrastructure and poor curriculum-context alignment, hindering effective mathematics instruction and student engagement.Aims: This study investigates how mathematics learning is organized and implemented in a vocational high school situated in the Entikong border area of West Borneo, Indonesia. The research seeks to identify instructional patterns, contextual challenges, and adaptive strategies used by educators under constrained conditions.Method: Using a qualitative case study design, data were gathered through direct classroom observation, semi-structured interviews with teachers and school leaders, and review of official teaching documents. Thematic analysis and data triangulation were employed to ensure rigor and credibility.Results: The analysis highlights a continued reliance on teacher-centered instruction, minimal use of contextual or vocationally integrated methods, and limited student engagement. Assessment practices predominantly measure cognitive outcomes, lacking elements that support student reflection or vocational competencies. Curriculum delivery is often disrupted by time limitations and infrastructural shortfalls.Conclusion: Improving mathematics instruction in border-based vocational schools necessitates flexible teaching models tailored to the local context. Strengthening professional development, embedding authentic assessments, and enhancing school-community collaboration are crucial steps toward addressing educational disparities in underserved regions.
Co-Authors A.A. Ketut Agung Cahyawan W Abd Kadir, Abd Abdul Majid Adrianto, Adrianto Agah D. Garnadi Agus Dwi Susanto Agusman, Agusman Ahmad Fathoni Ahmad Fuady Alam, Saiful Aldha Williyan Alfian Z, Andi Alfian, Andi Almahdy, Andi Muh Alwin, Wanarani Amalia Amalia Amalia, Ginva Amin, Muzakkir AMIN, ROSMINI Amran Analisis Zega, Sabar Andi Alfian Zainuddin Andri Susanto ANDRIA AGUSTA Andriani, Jeni Antonius Herry Cahyana Aria Kekalih Arifurrohman, Arifurrohman Aryati, Risma Ade Asriyani, Sri Atit Kanti Azis, Rahmawati Baan, Junus Bachtiar Murtala Bahruddin Thalib Baiquni, Maulana Barliana, Julie D. Basri, Muhammad Iqbal Bulan Dalimunthe, Derhana Burhanuddin Bahar Cahyono Kaelan, Cahyono Chandra, Levina Cici Darsih Crismono, Prima Cristi Darani, Nurlia Putri Darmiati, Sawitri Data, Rustiari Devei, Astri Dewangga, Adrian Vigo Dewi Sumaryani Soemarko DEWI WULANSARI Diah Pratiwi Dinar Djoko Sutopo Dwi Handayani Dwinna Rahmi Efendi, Sintia Frisky Ekawati, Shindy Elfahmi, Khalida Ikhlasiya Tajdar Gefariena Elga Yanuardianto Endah Setyaningrum, Endah Erni Erwin Erwin Etfita, Fauzul Fahrul Basir Faisal Faisal Fanggidae, Apriana H.J. Fanggidae, Ronald Patrick Costantin Farida Faridin, Faridin Faris Kaisan, Ahmad fatimah Fatimah Fatjriyah, Emilliyatul Laily Ferdy Nurhadi Firdaus, M. Dhafa Fitriani A, Fitriani Fitriyadi Kusuma Foenay, Christien C. Gaffar, Masyita Gufron, Moh. Ali Hafidz Hanafiah Hamdani Thaha, Hamdani Hamidsyukrie, Hamidsyukrie Hayan, Maulana Thoriqul Hendri Busman Heni Pujiastuti Hernawan, . Hernawan, . HP, Faridin Huda, Mifathul I Made Sudiana Idris, Nurlaily Ikram, Muhammad Ikram, Muhammad Ikram Imam, Muh Abdi Indra, Ryan Indrianingsih, A. Wheni Indrianingsih, A. Wheni Irwan Irwan Iswan Iswan Januarius Mujiyanto, Januarius Jasnur, Avrilia Jen Fuk, Liem Joedo Prihartono Johan, Muhammad Phetrus Jufri, Jufriyanto Juhandi, Juhandi Julianto, Adhitya Jumardi, Andi Kaewhanam, Phimlikid Kafrawi Kafrawi Kai, Rosita Kartika Dyah Palupi Khaerunnisa Khaerunnisa, Khaerunnisa Khairunnas Jamal Khofifah, Eva Nur Khomaruzaman, Akmal Kriswinarso, Tri Bondan Kumara Walpita Gamage, Chandima Kuncoro, Teguh Kurniawati, Wensri sevni Latief, Nikmatia Latief, Shofiyah Lil Fudlola, Mudafi’ah Lino, Nopa Sampe Liriwati, Fahrina Yustiasari Lisnawati Ma'rufi Ma'rufi, Ma'rufi Ma’rufi, Ma’rufi Maharani, Intan Malik, Dwi Maheza Mardianto, Umar Martin L. Simanjuntak, Martin L. Marufi Marufi, Marufi Masyhuri Masyhuri Maylani, Lina Ma’rufi Ma’rufi, Ma’rufi Mochamad Guntur Muchtaruddin Mansyur Muhammad Fadjar Perkasa, Muhammad Fadjar Muhammad Kamal Muhammad Ruslin, Muhammad Muhammad Syafar Muhammad Yunus Muharozak, Fahrezi Muhibbah, A. Fitrah Muis, Mirna Mulyadi Mulyadi Mumtazah, Dzul Fithria Nafiz, Farhan Nawi, Syahruddin Nirmala Nirmala, Nirmala Nurambiya, Nurambiya Nurfalaq, Aryadi Nuri Purwito Adi Nurlaili Handayani Nurlita, Cindy Nurul Fatimah Nurul Qomariah Nury Nusdwinuringtyas Patmaniar Patmaniar, Patmaniar Patobun, Patobun Pramono, Rufik Tejo Praptiwi Praptiwi Praptiwi, - Prasetyo, Aditya Agung Purnama, Denta Putra, Aldho Pramana Putra, Ryryn Suryaman Prana Putri, Iin Karmila Putri, Nurul Azzahra Rachma Tullah, Rosna Andini Rafiud Ilmudinulloh Rahayu, Ria Apriyani Rahmat Hidayat Ramli Ramli Ratsmita, Firly Rauf, Rafikah Retno Sari Rismala, Rismala Rizki Ramadani Rosalina, Utami Rosidah Rosidah Rostiani, Winda Rosyida, Vita Taufika Rosyida, Vita Taufika S. Soemarko, Dewi Salsabila, Saila Salwah Saman Hudi Samban, Ida Saputri, Agnes Ratna Saranga Sudusinghe, Wasana SARDIA, SARDIA Sehe, Sehe Sekarutami, Sri Mutya SEPTELIA INAWATI WANANDI Septia Wulandari Seti, Sirikanya Shahat, Salah Shinta, Pricilla Siregar, Trifonia Pingkan Sri Nurdiati Sri Wahyuni Suryati Suryati Susmawati, Susmawati Suud Suud, Suud Syafruddin Syafruddin SYAMSU ALAM Syifa Octaviani, Audia Tajuddin, Muhtar Tanady, Kevin Julius Tartila, Zakiyana Taufik, Feni Fitriani Taufiq Taufiq Taufiq Thalib, Hambali Tukimun, Suci Tria Meirisa Utama, Dharma Vina Yuliana, Vina Wafa, Muhamad Ali Wahidah, Ananda Wahidin Ashari, Nur Wibowo, Suryo Widi Astuti Widjanantie, Siti Chandra Widya Rizky Pratiwi, Widya Rizky wijaya, firad Winahyu, Winahyu Winata, Vera Wuri Apriyana, Wuri Yogi, Muhammad Yuliano, Muhammad Ilhan Yundari, Yundari Yusdira, Ade Yusuf, Hardianti Zahro, Isna Arofatus Zainuddin, Alfian Zainuddin, Andi A. ZM, Hamidsyukrie  Sugiarta,  Iwan